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Moduli Spaces of Riemannian Metrics

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This book studies certain spaces of Riemannian metrics on both compact and non-compact manifolds. These spaces are defined by various sign-based curvature conditions, with special attention paid to positive scalar curvature and non-negative sectional curvature, though we also consider positive Ricci and non-positive sectional curvature. If we form the quotient of such a space of metrics under the action of the diffeomorphism group (or possibly a subgroup) we obtain a moduli space. Understanding the topology of both the original space of metrics and the corresponding moduli space form the central theme of this book. For example, what can be said about the connectedness or the various homotopy groups of such spaces? We explore the major results in the area, but provide sufficient background so that a non-expert with a grounding in Riemannian geometry can access this growing area of research.

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Detail Information

Series Title

Oberwolfach Seminars

Call Number

-

Publisher

: ., 2015

Collation

-

Language

English

ISBN/ISSN

978-3-0348-0948-1

Classification

NONE

Content Type

text

Media Type

computer

Carrier Type

online resource

Edition

1

Subject(s)

Differential Geometry,
Algebraic Topology,
Manifolds and Cell Complexes

Specific Detail Info

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Statement of Responsibility

Wilderich Tuschmann

Other Information

Cataloger

Lika

Source

-

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